Question

perimeter of square and rectangle are same . perimeter of square is 80 cm. if difference between areas of square and rectangle is 100 sq cm . find length and breadth of rectangle

Answer 1

perimeter of square =4*side =80 cm
so side of square=20 cm
area of square=20*20=400cm
perimeter of rectangle= 2(l+b) =80
=

l+b=40
l=40-b
also ,area of square - area of rectangle= 100
400-lb=100
500=lb
500=(40-b)b
${b}^{2} + 40b - 500 = 0$
b = 10cm
so l=30cm